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Finding the Fourth Proportional to 319,006.35, 478,509.46 and 94,349.27

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Solution

The fourth proportional to 319,006.35, 478,509.46 and 94,349.27 is: 141,523.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,006.35 : 478,509.46 = 94,349.27 : x
  2. Step 2: Convert to fraction form
    319,006.35/478,509.46 = 94,349.27/x
  3. Step 3: Cross multiply
    319,006.35x = 478,509.46 × 94,349.27
  4. Step 4: Simplify right side
    319,006.35x = 45,147,019,199.49
  5. Step 5: Solve for x
    x = 45,147,019,199.49/319,006.35
  6. Step 6: Final answer
    x = 141,523.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.